🧮 IEEE 754 Converter in Java

A comprehensive IEEE 754 Floating Point Converter built with Java Converts any positive or negative number (integer or floating) into its 32-bit IEEE 754 binary and hexadecimal form — with step-by-step explanations.

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🚀 Overview

This Java-based tool allows students and professionals to understand how floating-point numbers are represented in IEEE 754 single-precision (32-bit) format. It not only provides the final binary result but also walks you through every computational step:

• ✅ Conversion of integer and fractional parts to binary
• ✅ Normalization of binary number
• ✅ Calculation of biased exponent
• ✅ Mantissa extraction and rounding (round-to-nearest-even)
• ✅ Generation of 32-bit binary and hexadecimal output
• ✅ Verification using Java’s built-in Float.floatToIntBits()

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🧰 Features

Feature	Description
🎯 Universal Input	Accepts any decimal value — integer, floating, positive, or negative.
📊 Step-by-Step Conversion	Displays every IEEE 754 calculation step in an easy-to-read format.
⚙️ Accurate Rounding	Implements IEEE’s Round to Nearest Even rule.
🧠 Educational Design	Ideal for students learning number systems and floating-point standards.
💻 Cross-Platform	Runs perfectly on Windows, macOS, and Linux using any Java-supported IDE.

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🧩 How This Tool Works

The program performs these steps automatically once you enter a number:

1. Sign Detection: Determines the sign bit (1 for negative, 0 for positive).
2. Integer Conversion: Converts the integer part of the number into binary.
3. Fractional Conversion: Converts the fraction by multiplying by 2 and capturing integer parts.
4. Normalization: Adjusts the binary number to scientific notation form (1.x × 2^E).
5. Exponent Calculation: Adds 127 to the exponent (biasing).
6. Mantissa Extraction: Captures 23 bits after the binary point.
7. Rounding: Applies round-to-nearest-even rule for precision.
8. Final Output: Displays 32-bit IEEE 754 representation (binary + hexadecimal).

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🧑‍💻 Project Structure

IEEE754Converter-Java/
│
├── src/
│ └── IEEE754Converter.java # Main program file
│
├── README.md # Project documentation (this file)
├── .gitignore # Ignore compiled & IDE files
└── LICENSE # MIT License for open sharing

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🧠 How to Run the Program

🖥️ Option 1: Run in VS Code

1. Install the Java Extension Pack from VS Code Marketplace.
2. Open the folder IEEE754Converter-Java in VS Code.
3. Open the file IEEE754Converter.java.
4. Press Ctrl + F5 (or click “Run Java”).
5. Enter any number, e.g. -3105.8565, and view the detailed conversion output.

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💡 Option 2: Run in IntelliJ IDEA

1. Open IntelliJ → File > New > Project from Existing Sources
2. Select the folder IEEE754Converter-Java
3. Mark src as a Source Root
4. Right-click IEEE754Converter.java → Run 'IEEE754Converter.main()'

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🧩 Option 3: Run in Eclipse

1. Create a New Java Project named IEEE754Converter-Java.
2. Copy IEEE754Converter.java into the src folder.
3. Right-click the file → Run As → Java Application.

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🧱 Option 4: Run Using Command Line

If you have JDK installed:

cd path/to/IEEE754Converter-Java/src
javac IEEE754Converter.java
java IEEE754Converter

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🧮 Example Input:

Enter a number: -3105.8565

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🧮 Example Output:

Sign bit = 1
Integer binary = 110000100001
Fractional binary = .1101101101...
Normalized form = 1.10000100001110110110100 × 2^11
Exponent (biased) = 138 (10001010)
Mantissa = 10000100001110110110100
Final 32-bit IEEE 754 = 11000101010000100001110110110100
Hexadecimal = 0xC5421DB4